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We now have the required notions to describe our approximate hierarchical clustering algorithm HappieClust (Algorithm 2).
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There are at least three distinct proposals for the required notion of formality, and each provides a different kind of answer to that question.
Ethics requires notions of self, agency, and value that are not available to postmodernists.
The definition of probability functions thus requires notions from classical logic, and in this sense probability theory can be said to presuppose classical logic (Adams 1998, 22).
This combinatorial approach does not require preconceived notions for designing mutations.
These behaviors cannot be fully understood under the sole lens of bimodal "proactive/predatory/instrumental" vs "reactive/emotional/hostile/expressive" offenses and it requires nuanced notions about premeditation and planning.
In order to prove our results, we require the notions of (L_{p} -harmonic BL_{p} -harmonictions and general (L_{p})-harmonic Blaschke bodies.
Most current work focuses on developing the directed algebraic topological notions required to analyse HDA to determine their computer scientific properties (deadlock, safety, unreachable states, etc).
For this purpose, the IEEE Ontologies for Robotics and Automation (ORA) Working Group started developing an ontology, called POS, with the purpose of defining the core notions required to share spatial concepts in the R&A domain.
In the following, after introducing the dataset, we describe in simple terms the notions required for the topological description of the collaboration data.
Third, more relevant, inclusive, interdisciplinary analytical frameworks are required to improve notions of what goals are and what success looks like.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com